A334018 Sum of the middle side lengths of all primitive Heronian triangles with perimeter A096468(n).

4, 5, 5, 12, 13, 23, 15, 29, 13, 17, 30, 62, 24, 25, 71, 25, 25, 46, 29, 20, 26, 55, 160, 106, 37, 205, 109, 79, 209, 33, 146, 38, 39, 45, 195, 41, 296, 51, 178, 226, 266, 60, 153, 172, 105, 486, 50, 51, 61, 61, 60, 297, 50, 214, 130, 130, 476, 565, 252, 258, 192, 158, 493

Offset: 1

Author

Wesley Ivan Hurt, May 16 2020

Keywords

• nonn

Examples

			a(1) = 4; there is one primitive Heronian triangle with perimeter A096468(1) = 12, [3,4,5] and 4 is the middle side length.
a(6) = 23; there are two primitive Heronian triangles with perimeter A096468(6) = 36, [9,10,17] and [10,13,13]. The sum of the middle side lengths is then 10 + 13 = 23.
		

Links

• Eric Weisstein's World of Mathematics, Heronian Triangle
• Wikipedia, Heronian triangle
• Wikipedia, Integer Triangle

Crossrefs

Cf. A096468, A330874, A334120.